214641252 has 240 divisors, whose sum is σ = 717171840. Its totient is φ = 54494208.

The previous prime is 214641239. The next prime is 214641257. The reversal of 214641252 is 252146412.

214641252 is a `hidden beast` number, since 2 + 14 + 641 + 2 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (214641257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 732418 + ... + 732710.

It is an arithmetic number, because the mean of its divisors is an integer number (2988216).

Almost surely, 2^214641252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214641252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358585920).

214641252 is an abundant number, since it is smaller than the sum of its proper divisors (502530588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214641252 is a wasteful number, since it uses less digits than its factorization.

214641252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 341 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 214641252 is about 14650.6399860211. The cubic root of 214641252 is about 598.7392527160.

Adding to 214641252 its reverse (252146412), we get a palindrome (466787664).

The spelling of 214641252 in words is "two hundred fourteen million, six hundred forty-one thousand, two hundred fifty-two".